Search a number
-
+
22351533056 = 210373171861
BaseRepresentation
bin10100110100010000…
…010101010000000000
32010200201100112011122
4110310100111100000
5331233443024211
614133530531412
71420614616256
oct246420252000
963621315148
1022351533056
11952a948676
1243b9596b68
132152923c08
14112072a5d6
158ac41b6db
hex534415400

22351533056 has 88 divisors (see below), whose sum is σ = 46058335176. Its totient is φ = 10833592320.

The previous prime is 22351533053. The next prime is 22351533059. The reversal of 22351533056 is 65033515322.

It is an interprime number because it is at equal distance from previous prime (22351533053) and next prime (22351533059).

It can be written as a sum of positive squares in 4 ways, for example, as 19219456 + 22332313600 = 4384^2 + 149440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22351533053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12009566 + ... + 12011426.

Almost surely, 222351533056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22351533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23029167588).

22351533056 is an abundant number, since it is smaller than the sum of its proper divisors (23706802120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22351533056 is a wasteful number, since it uses less digits than its factorization.

22351533056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

The spelling of 22351533056 in words is "twenty-two billion, three hundred fifty-one million, five hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 317 512 592 634 1024 1184 1268 1861 2368 2536 3722 4736 5072 7444 9472 10144 11729 14888 18944 20288 23458 29776 37888 40576 46916 59552 68857 81152 93832 119104 137714 162304 187664 238208 275428 324608 375328 476416 550856 589937 750656 952832 1101712 1179874 1501312 1905664 2203424 2359748 3002624 4406848 4719496 6005248 8813696 9438992 12010496 17627392 18877984 21827669 35254784 37755968 43655338 70509568 75511936 87310676 151023872 174621352 302047744 349242704 604095488 698485408 1396970816 2793941632 5587883264 11175766528 22351533056